Problema Solution

Amber is examining her calling card portion of her phone bill. A 4-minute call at the night rate costs $2.65 and a 10-minute call at the night rate costs $4.75. Write a linear equation in slope-intercept form to model this situation.

Answer provided by our tutors

let 'x' represent the constant portion of the bill and 'r' represent the cost per minute for a night rate call, then:


2.65 = 4r + x

4.75 = 10r + x

solving this system we have:

x = 0.35

r = 1.25


let 'm' represent the number of night minutes, the total bill, 'T', is then modelled by this equation:


T = 0.35m + 1.25